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Finding the Fourth Proportional to 8,606.40, 12,910.08 and 2,764.80

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Solution

The fourth proportional to 8,606.40, 12,910.08 and 2,764.80 is: 4,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.40 : 12,910.08 = 2,764.80 : x
  2. Step 2: Convert to fraction form
    8,606.40/12,910.08 = 2,764.80/x
  3. Step 3: Cross multiply
    8,606.40x = 12,910.08 × 2,764.80
  4. Step 4: Simplify right side
    8,606.40x = 35,693,789.18
  5. Step 5: Solve for x
    x = 35,693,789.18/8,606.40
  6. Step 6: Final answer
    x = 4,147.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.